2) What precisely happened when you were re-entering the U.S. on 06-15-2010? Did the passport control officer at the U.S. port of entry ask you any questions regarding your trip abroad? E.g. did he/she ask you where you have been during that trip and for how long? If yes, what exactly did you answer? Did the officer give you any warnings regarding repeated extended absences from the U.S. and their affect on your LPR status? -she just asked me how long i was out then i told her couple months and then she just wrote 8weeks on her piece of paper then sent me on my way
There you do have a problem. You lied to the CBP officer at the passport control regarding the time you had been out of the U.S.: you said it was two months whereas in reality it was 7 months and one week. Moreover, it appears likely that the CBP officer actually made a notation in your CBP record that the length of your absence was 8 weeks, based on the answer you gave her. You were lucky that you did not get caught right then and there: she could have easily looked up your entire entry/exit record in the CBP computer system, in which case she would have seen that in reality you had left the U.S. in November 2009 and had been abroad for over 7 months.
Lying to an immigration officer, coupled with a falsified date stamp in your passport, is, in and of itself, a serious matter. There are significant penalties for doing that (see for example, the provisions regarding document fraud penalties at
http://www.law.cornell.edu/uscode/html/uscode08/usc_sec_08_00001324---c000-.html)
If you do submit an N-400, now or at any point in the future, you'd need to disclose this entire incident to the IO conducting the naturalization interview and in the N-400 itself. There are several questions there, Questions 23 and 24 in part 10 of N-400, that specifically ask if you had every lied/provided misleading/false information to any U.S. government immigration official or an immigration officer at the port of entry to the U.S. In your cases the correct answer to Question 24 (and probably to Question 23 as well) is "yes", and you'd need to provide a detailed explanation of what happened. If you lie and answer "no", you would only be compounding your problems and digging yourself a deeper hole, in case you get caught.
So before you file N-400 (now or later), I very much recommend that you talk to
several immigration lawyers about your situation and ask them about the possible consequences, both for you N-400 application and for your green card status, of falsifying that date stamp in the passport and then lying to the U.S. passport control officer at the port of entry. In particular, you should ask them if that episode itself may make you deportable.
3) What was the real reason for your trip abroad from 11-7-09 to 06-15-2010? (I assume it was not for vacation, right?)-i just spent time with my wife and daughter all that time i was out of the US
You have several problems here as well. If you do file N-400, you'll need to disclose the true dates of your foreign trips since becoming an LPR, including that Nov 2009-June 2010 trip. Since the trip was over 6 months but less than a year in duration, by law that trip is presumed to have broken continuous residency. This presumption may be overcome if the applicant (you) convinces the IO that the trip did not break continuous residency and retain close economic, residential and familial ties to the U.S. during that trip. In your case this will be particularly hard to do for several reasons:
1) The falsified stamp date/lying to the IO at the port of entry to the U.S. about the length of that trip will severely undermine your credibility in the IOs eyes.
2) You had a rather extended (592 days) absence from the U.S. that ended only a few months before the start of your Nov 2009 trip.
3) Your immediate family members (your wife and child) did not remain in the U.S. during that trip.
While you did not provide information in your posts above about your residential and economic ties to the U.S. during the Nov 2009-June 2010 trip (such as if you rented/owned an apartment/house in the U.S. during that trip, if you maintained a U.S. job during that trip, if you had taken a job abroad while you were away, etc), just those three issues listed above make it rather unlikely that you would be able to convince the IO that the trip in question did not break your continuous residency requirement for naturalization purposes.
If that trip did break your continuous residency, then you are not eligible to file N-400 on June 17, 2011.
Moreover, quite apart from the continuous residency issue, there is a good moral character requirement as well. With your falsifying the passport stamp/lying to the IO at the port of entry episode, this is going to present a problem as well. When you talk to the mmigration lawyers about your situation, ask them about this also.
My personal feeling is that you should wait at least the full three years after 06-15-2010 before submitting a marriage-based N-400 application, since by then the incident in question will have fallen outside the three years statutory period most directly relevant to the good moral character determination.